The figure below shows an equivalent single degree of freedom (SDOF) model of a wind turbine. The rotor and nacelle system has a combined mass M = 200 kg and the mass per unit length of the tower is m = 10 kg/m. Assume the tower to be a uniform beam having length L = 30 m, second moment of area I = 10 m, Young's modulus E = 70 GPa. Moreover, suppose that the rotor system has an eccentricity e = 1 m and an unbalance mass of mo = 10 kg. Considering the wind turbine damping coefficient c = 90096 N.s/m, obtain the steady-state response amplitude of the tip (i.e. steady state of response x (t)) when the blades are rotating at 2 = 385 rpm. Me 0.017 mm 0.420 mm 0.095 mm 0.756 mm 0.210 mm O O O O O
The figure below shows an equivalent single degree of freedom (SDOF) model of a wind turbine. The rotor and nacelle system has a combined mass M = 200 kg and the mass per unit length of the tower is m = 10 kg/m. Assume the tower to be a uniform beam having length L = 30 m, second moment of area I = 10 m, Young's modulus E = 70 GPa. Moreover, suppose that the rotor system has an eccentricity e = 1 m and an unbalance mass of mo = 10 kg. Considering the wind turbine damping coefficient c = 90096 N.s/m, obtain the steady-state response amplitude of the tip (i.e. steady state of response x (t)) when the blades are rotating at 2 = 385 rpm. Me 0.017 mm 0.420 mm 0.095 mm 0.756 mm 0.210 mm O O O O O
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The figure below shows an equivalent single degree of freedom (SDOF) model of a wind turbine. The rotor and nacelle system has a combined mass M = 200 kg and the mass
per unit length of the tower is m = 10 kg/m. Assume the tower to be a uniform beam having length L = 30 m, second moment of area I = 10 m4, Young's modulus E = 70
GPa. Moreover, suppose that the rotor system has an eccentricity e = 1 m and an unbalance mass of mo = 10 kg. Considering the wind turbine damping coefficient c =
90096 N.s/m, obtain the steady-state response amplitude of the tip (i.e. steady state of response x (t)) when the blades are rotating at N = 385 rpm.
Me
Fo
0.017 mm
420 mm
0.095 mm
0.756 mm
0.210 mm
O O O O O
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